{"id":538,"date":"2026-02-27T20:17:50","date_gmt":"2026-02-27T12:17:50","guid":{"rendered":"https:\/\/wo.city\/?p=538"},"modified":"2026-02-27T20:17:50","modified_gmt":"2026-02-27T12:17:50","slug":"bm3d-block-matching-3d-collaborative-filtering-denoising","status":"publish","type":"post","link":"https:\/\/wo.city\/?p=538","title":{"rendered":"BM3D\uff1a\u628a\u76f8\u4f3c\u5757\u5806\u62103D\u7ec4\u505a\u534f\u540c\u6ee4\u6ce2"},"content":{"rendered":"<h2>\u4e00\u53e5\u8bdd\uff1a\u56fe\u50cf\u53bb\u566a\u7684&#8221;\u975e\u5c40\u90e8&#8221;\u601d\u8def\u53ef\u4ee5\u8d70\u591a\u8fdc<\/h2>\n<p>\u81ea\u7136\u56fe\u50cf\u4e2d\u5927\u91cf\u5c0f\u5757\uff08patch\uff09\u5f7c\u6b64\u9ad8\u5ea6\u76f8\u4f3c\u2014\u2014\u5747\u5300\u533a\u57df\u3001\u91cd\u590d\u7eb9\u7406\u3001\u5e73\u884c\u8fb9\u7f18\u90fd\u4f1a\u4ea7\u751f\u8fd9\u79cd\u5197\u4f59\u3002Dabov \u7b49\u4eba\u5728 2007 \u5e74\u53d1\u8868\u7684 BM3D\uff08Block-Matching and 3-D Filtering\uff09\u7b97\u6cd5\uff0c\u628a\u8fd9\u4e2a\u89c2\u5bdf\u63a8\u5230\u4e86\u4e00\u4e2a\u6781\u81f4\uff1a\u5148\u7528\u5757\u5339\u914d\uff08block-matching\uff09\u5728\u56fe\u50cf\u4e2d\u641c\u96c6\u76f8\u4f3c\u7684 2D \u5757\uff0c\u5c06\u5b83\u4eec\u5806\u53e0\u6210 3D \u6570\u7ec4\uff0c\u518d\u5728 3D \u53d8\u6362\u57df\u4e2d\u505a\u6536\u7f29\u6ee4\u6ce2\u3002\u7531\u4e8e\u76f8\u4f3c\u5757\u4e4b\u95f4\u7684\u5197\u4f59\u88ab 3D \u53d8\u6362\u5145\u5206\u538b\u7f29\uff0c\u566a\u58f0\u4e0e\u4fe1\u53f7\u7684\u5206\u79bb\u7cbe\u5ea6\u8fdc\u8d85\u9010\u5757\u72ec\u7acb\u5904\u7406\u3002\u8fd9\u7bc7\u8bba\u6587\u5728\u53d1\u8868\u65f6\u5237\u65b0\u4e86\u7070\u5ea6\u548c\u5f69\u8272\u56fe\u50cf\u53bb\u566a\u7684 PSNR \u8bb0\u5f55\uff0c\u5e76\u5728\u6b64\u540e\u8fd1\u5341\u5e74\u95f4\u4e00\u76f4\u662f\u56fe\u50cf\u53bb\u566a\u9886\u57df\ufffd\ufffd\u4e8b\u5b9e\u6807\u51c6\u57fa\u7ebf\u3002<\/p>\n<h2>\u4e3a\u4ec0\u4e48\u9010\u5757\u53d8\u6362\u6536\u7f29\u4e0d\u591f\u7528<\/h2>\n<p>\u53d8\u6362\u57df\u53bb\u566a\u7684\u57fa\u672c\u903b\u8f91\u5f88\u7b80\u5355\uff1a\u5982\u679c\u771f\u5b9e\u4fe1\u53f7\u5728\u67d0\u4e2a\u53d8\u6362\u4e0b\u662f\u7a00\u758f\u7684\uff08\u53ea\u6709\u5c11\u6570\u7cfb\u6570\u663e\u8457\uff09\uff0c\u90a3\u4e48\u566a\u58f0\u4e3b\u8981\u5206\u5e03\u5728\u90a3\u4e9b\u5c0f\u7cfb\u6570\u4e0a\uff0c\u786c\u9608\u503c\u6216\u8f6f\u9608\u503c\u5c31\u80fd\u6709\u6548\u5206\u79bb\u4fe1\u53f7\u4e0e\u566a\u58f0\u3002<a href=\"https:\/\/wo.city\/?p=532\">\u300a\u7528\u5c0f\u6ce2\u6536\u7f29\u9002\u5e94\u672a\u77e5\u5149\u6ed1\u6027\u300b<\/a>\u4e2d\u8ba8\u8bba\u7684 SureShrink \u6b63\u662f\u8fd9\u6761\u8def\u7ebf\u7684\u7ecf\u5178\u4ee3\u8868\u2014\u2014\u5728\u5c0f\u6ce2\u57df\u4e2d\u5bf9\u6bcf\u4e2a\u5206\u8fa8\u7387\u5c42\u7ea7\u505a\u6570\u636e\u9a71\u52a8\u7684\u9608\u503c\u9009\u62e9\u3002<\/p>\n<p>\u95ee\u9898\u5728\u4e8e\uff0c\u6ca1\u6709\u54ea\u4e2a\u56fa\u5b9a\u7684 2D \u53d8\u6362\u80fd\u5bf9\u6240\u6709\u56fe\u50cf\u5185\u5bb9\u90fd\u5b9e\u73b0\u826f\u597d\u7a00\u758f\u6027\u30022D DCT \u5904\u7406\u4e0d\u597d\u5c16\u9510\u8fb9\u7f18\uff0c\u5c0f\u6ce2\u5904\u7406\u4e0d\u597d\u7eb9\u7406\u548c\u5e73\u6ed1\u6e10\u53d8\u3002\u81ea\u9002\u5e94 PCA \u6216 K-SVD \u5b66\u4e60\u5b57\u5178\u53ef\u4ee5\u6539\u5584\u7a00\u758f\u6027\uff0c\u4f46\u8ba1\u7b97\u4ee3\u4ef7\u9ad8\u6602\u3002BM3D \u7684\u601d\u8def\u4e0d\u540c\uff1a\u4e0e\u5176\u5728\u5355\u4e2a\u5757\u4e0a\u8ffd\u6c42\u66f4\u597d\u7684\u53d8\u6362\u57fa\uff0c\u4e0d\u5982\u5229\u7528\u5757\u95f4\u76f8\u4f3c\u6027\uff0c\u5728\u7b2c\u4e09\u4e2a\u7ef4\u5ea6\u4e0a&#8221;\u514d\u8d39&#8221;\u83b7\u5f97\u989d\u5916\u7684\u7a00\u758f\u589e\u76ca\u3002<\/p>\n<p>\u76f4\u89c9\u4e0a\u53ef\u4ee5\u8fd9\u6837\u7406\u89e3\uff1a\u5047\u8bbe\u4e00\u4e2a group \u91cc\u6709 N \u4e2a\u76f8\u4f3c\u5757\uff0c\u6bcf\u4e2a\u5757\u5728 2D \u53d8\u6362\u4e0b\u6709 K \u4e2a\u663e\u8457\u7cfb\u6570\u3002\u5982\u679c\u72ec\u7acb\u5904\u7406\uff0c\u6574\u4e2a group \u9700\u8981 N\u00d7K \u4e2a\u7cfb\u6570\u6765\u8868\u793a\u3002\u4f46\u5982\u679c\u5728\u5757\u95f4\u518d\u505a\u4e00\u6b21 1D \u53d8\u6362\uff08\u7b49\u6548\u4e8e\u5bf9\u6574\u4e2a group \u505a\u53ef\u5206\u79bb 3D \u53d8\u6362\uff09\uff0c\u7531\u4e8e\u5757\u95f4\u9ad8\u5ea6\u76f8\u4f3c\uff0c\u8de8\u5757\u65b9\u5411\u4e0a\u5927\u90e8\u5206\u80fd\u91cf\u96c6\u4e2d\u5728 DC \u5206\u91cf\u9644\u8fd1\uff0c\u663e\u8457\u7cfb\u6570\u603b\u6570\u4ece N\u00d7K \u9aa4\u964d\u5230\u63a5\u8fd1 K\u3002\u7a00\u758f\u5ea6\u7684\u63d0\u5347\u76f4\u63a5\u8f6c\u5316\u4e3a\u66f4\u7cbe\u51c6\u7684\u9608\u503c\u6536\u7f29\u3002<\/p>\n<h2>\u4e24\u6b65\u6d41\u6c34\u7ebf\uff1a\u786c\u9608\u503c\u6253\u5e95\uff0cWiener \u7cbe\u4fee<\/h2>\n<p>BM3D \u7684\u7b97\u6cd5\u7ed3\u6784\u5206\u4e3a\u4e24\u6b65\uff0c\u6bcf\u4e00\u6b65\u90fd\u5305\u542b&#8221;\u5206\u7ec4\u2192\u534f\u540c\u6ee4\u6ce2\u2192\u805a\u5408&#8221;\u4e09\u4e2a\u73af\u8282\u3002<\/p>\n<p><strong>\u7b2c\u4e00\u6b65\uff08\u57fa\u7840\u4f30\u8ba1\uff09\uff1a<\/strong>\u5bf9\u566a\u58f0\u56fe\u50cf\u4e2d\u7684\u6bcf\u4e2a\u53c2\u8003\u5757\uff0c\u5728\u5c40\u90e8\u90bb\u57df\u5185\u7528 \u2113\u00b2 \u8ddd\u79bb\u641c\u7d22\u76f8\u4f3c\u5757\u3002\u4e3a\u4e86\u964d\u4f4e\u566a\u58f0\u5bf9\u8ddd\u79bb\u5ea6\u91cf\u7684\u5e72\u6270\uff0c\u8bba\u6587\u5f15\u5165\u4e86\u4e00\u4e2a\u9884\u6ee4\u6ce2\u7b56\u7565\u2014\u2014\u5148\u5bf9\u5757\u505a 2D \u53d8\u6362\u5e76\u786c\u9608\u503c\u5904\u7406\uff0c\u518d\u5728\u6536\u7f29\u540e\u7684\u7cfb\u6570\u4e0a\u8ba1\u7b97\u8ddd\u79bb\u3002\u627e\u5230\u7684\u76f8\u4f3c\u5757\u5806\u53e0\u6210 3D group\uff0c\u65bd\u52a0\u53ef\u5206\u79bb 3D \u53d8\u6362\uff082D \u53d8\u6362 + \u8de8\u5757 1D \u53d8\u6362\uff09\uff0c\u5bf9 3D \u7cfb\u6570\u505a\u786c\u9608\u503c\u6536\u7f29\uff0c\u9006\u53d8\u6362\u540e\u5f97\u5230\u6bcf\u4e2a\u5757\u7684\u4f30\u8ba1\u3002\u7531\u4e8e\u53c2\u8003\u5757\u7684\u6ed1\u52a8\u7a97\u53e3\u4f1a\u4ea7\u751f\u5927\u91cf\u91cd\u53e0\u7684\u5757\u4f30\u8ba1\uff0c\u540c\u4e00\u50cf\u7d20\u4f4d\u7f6e\u53ef\u80fd\u6709\u591a\u4e2a\u4f30\u8ba1\u503c\uff0c\u6700\u7ec8\u901a\u8fc7\u52a0\u6743\u5e73\u5747\uff08\u805a\u5408\uff09\u5408\u6210\u57fa\u7840\u4f30\u8ba1\u56fe\u50cf\u3002\u6743\u91cd\u4e0e\u6bcf\u4e2a group \u4e2d\u786c\u9608\u503c\u540e\u4fdd\u7559\u7684\u975e\u96f6\u7cfb\u6570\u6570\u91cf\u6210\u53cd\u6bd4\u2014\u2014\u4fdd\u7559\u7cfb\u6570\u8d8a\u5c11\uff0c\u8bf4\u660e group \u8d8a\u7a00\u758f\u3001\u4f30\u8ba1\u8d8a\u53ef\u9760\uff0c\u6743\u91cd\u8d8a\u5927\u3002<\/p>\n<p><strong>\u7b2c\u4e8c\u6b65\uff08\u6700\u7ec8\u4f30\u8ba1\uff09\uff1a<\/strong>\u5229\u7528\u7b2c\u4e00\u6b65\u7684\u57fa\u7840\u4f30\u8ba1\u505a\u4e24\u4ef6\u4e8b\u3002\u5176\u4e00\uff0c\u5728\u57fa\u7840\u4f30\u8ba1\uff08\u566a\u58f0\u5df2\u5927\u5e45\u8870\u51cf\uff09\u4e0a\u91cd\u65b0\u505a\u5757\u5339\u914d\uff0c\u5206\u7ec4\u7cbe\u5ea6\u663e\u8457\u63d0\u9ad8\u3002\u5176\u4e8c\uff0c\u7528\u57fa\u7840\u4f30\u8ba1\u7684 3D \u53d8\u6362\u529f\u7387\u8c31\u4f5c\u4e3a pilot\uff0c\u5bf9\u566a\u58f0\u56fe\u50cf\u7684 3D \u53d8\u6362\u7cfb\u6570\u505a\u7ecf\u9a8c Wiener \u6ee4\u6ce2\uff0c\u66ff\u4ee3\u7b2c\u4e00\u6b65\u4e2d\u76f8\u5bf9\u7c97\u7cd9\u7684\u786c\u9608\u503c\u3002Wiener \u6ee4\u6ce2\u7684\u6536\u7f29\u7cfb\u6570\u5b9a\u4e49\u4e3a |pilot \u7cfb\u6570|\u00b2\/(|pilot \u7cfb\u6570|\u00b2 + \u03c3\u00b2)\uff0c\u80fd\u66f4\u7cbe\u7ec6\u5730\u5728\u4fe1\u53f7\u5f3a\u7684\u9891\u7387\u5206\u91cf\u4e0a\u4fdd\u7559\u80fd\u91cf\u3001\u5728\u4fe1\u53f7\u5f31\u7684\u5206\u91cf\u4e0a\u538b\u5236\u566a\u58f0\u3002<\/p>\n<p>\u7b2c\u4e8c\u6b65\u5e26\u6765\u7684 PSNR \u589e\u76ca\u901a\u5e38\u8d85\u8fc7 0.5 dB\uff0c\u8fd9\u4e0d\u662f\u5fae\u5c0f\u7684\u6539\u5584\u2014\u2014\u5728\u53bb\u566a\u9886\u57df\uff0c0.5 dB \u7684\u5dee\u8ddd\u5f80\u5f80\u5bf9\u5e94\u7740\u53ef\u611f\u77e5\u7684\u89c6\u89c9\u8d28\u91cf\u5dee\u5f02\u3002<\/p>\n<h2>\u53d8\u6362\u9009\u62e9\uff1aDC \u5206\u91cf\u6bd4\u4f60\u60f3\u8c61\u7684\u66f4\u91cd\u8981<\/h2>\n<p>\u8bba\u6587\u4e2d\u4e00\u7ec4\u6709\u8da3\u7684\u6d88\u878d\u5b9e\u9a8c\u63ed\u793a\u4e86 3D \u53d8\u6362\u4e2d\u5404\u5206\u91cf\u7684\u89d2\u8272\u30022D \u53d8\u6362\uff08\u5904\u7406\u5757\u5185\u76f8\u5173\u6027\uff09\u7684\u9009\u62e9\u5bf9\u6700\u7ec8 PSNR \u5f71\u54cd\u4e0d\u5927\u2014\u2014DCT\u3001\u5c0f\u6ce2\u3001\u751a\u81f3&#8221;DC + \u968f\u673a\u6b63\u4ea4\u57fa&#8221;\u4e4b\u95f4\u7684\u5dee\u5f02\u4ec5 0.1\u20130.4 dB\u3002\u771f\u6b63\u5173\u952e\u7684\u662f\u8de8\u5757\u65b9\u5411\u7684 1D \u53d8\u6362 \u03c4\u2081\u1d30\u3002<\/p>\n<p>DST\uff08\u79bb\u6563\u6b63\u5f26\u53d8\u6362\uff09\u7684\u8868\u73b0\u660e\u663e\u900a\u4e8e\u5176\u4ed6\u53d8\u6362\uff0c\u539f\u56e0\u5728\u4e8e\u5b83\u7f3a\u5c11 DC \u57fa\u5143\u7d20\u3002DC \u5206\u91cf\u6355\u83b7\u7684\u662f\u76f8\u4f3c\u5757\u4e4b\u95f4\u7684\u5171\u6027\u2014\u2014\u6b63\u662f grouping \u6240\u5229\u7528\u7684\u6838\u5fc3\u5197\u4f59\u3002\u800c\u4ec5\u4fdd\u7559 DC\u3001\u4e22\u5f03\u6240\u6709\u5176\u4ed6\u7cfb\u6570\u7684&#8221;DC-only&#8221;\u7b56\u7565\u5728\u9ad8\u566a\u58f0\u4e0b\u8868\u73b0\u5f88\u5dee\uff0c\u56e0\u4e3a group \u5185\u7684\u5757\u5e76\u975e\u5b8c\u5168\u76f8\u540c\uff0c\u9700\u8981\u989d\u5916\u57fa\u5143\u7d20\u6765\u8868\u8fbe\u5757\u95f4\u5dee\u5f02\u3002Haar \u5c0f\u6ce2\u6210\u4e3a\u6700\u7ec8\u9009\u62e9\uff1a\u5b83\u65e2\u6709 DC \u5206\u91cf\uff0c\u53c8\u80fd\u9ad8\u6548\u5b9e\u73b0\uff082-tap \u6ee4\u6ce2\u5668\u7ec4\u7684\u8fed\u4ee3\u5206\u89e3\uff09\uff0c\u4e14\u5757\u7684\u6392\u5217\u987a\u5e8f\u5bf9\u7ed3\u679c\u51e0\u4e4e\u6ca1\u6709\u5f71\u54cd\u3002<\/p>\n<p>\u8fd9\u4e2a\u53d1\u73b0\u4e0e<a href=\"https:\/\/wo.city\/?p=534\">\u300a\u975e\u5c40\u90e8\u5747\u503c\uff1a\u7528\u56fe\u50cf\u81ea\u8eab\u7684\u5197\u4f59\u53bb\u566a\u300b<\/a>\u5f62\u6210\u4e86\u6709\u8da3\u7684\u5bf9\u6bd4\u3002NL-means \u672c\u8d28\u4e0a\u662f\u96f6\u9636\u4f30\u8ba1\u2014\u2014\u5bf9\u76f8\u4f3c\u5757\u505a\u52a0\u6743\u5e73\u5747\uff0c\u7b49\u4ef7\u4e8e\u53ea\u5229\u7528 DC \u5206\u91cf\u3002BM3D \u7684\u534f\u540c\u6ee4\u6ce2\u5219\u662f\u9ad8\u9636\u4f30\u8ba1\uff0c\u5728\u4fdd\u7559\u5171\u6027\u7684\u540c\u65f6\u5141\u8bb8\u6bcf\u4e2a\u5757\u6709\u81ea\u5df1\u7684\u4e2a\u6027\u5316\u7ec6\u8282\u3002\u8bba\u6587\u7684\u5b9e\u9a8c\u76f4\u63a5\u8bc1\u5b9e\u4e86\u8fd9\u4e00\u70b9\uff1a&#8221;DC-only&#8221;\u6a21\u5f0f\u9000\u5316\u4e3a\u7c7b\u4f3c NL-means \u7684\u7eaf\u5e73\u5747\uff0cPSNR \u663e\u8457\u4f4e\u4e8e\u5b8c\u6574\u7684 3D \u53d8\u6362\u6536\u7f29\u3002<\/p>\n<h2>\u5b9e\u9a8c\u7ed3\u679c\uff1a\u5168\u9762\u9886\u5148\u7684\u6570\u5b57<\/h2>\n<p>\u5728\u6807\u51c6\u7070\u5ea6\u6d4b\u8bd5\u56fe\u50cf\u4e0a\uff08\u03c3=25 \u7684\u52a0\u6027\u9ad8\u65af\u767d\u566a\u58f0\uff09\uff0cBM3D \u7684 PSNR \u8868\u73b0\u5982\u4e0b\uff1a<\/p>\n<ul>\n<li>Lena\uff1a32.08 dB<\/li>\n<li>Barbara\uff1a30.73 dB\uff08\u7eb9\u7406\u4e30\u5bcc\uff0cgrouping \u4f18\u52bf\u663e\u8457\uff09<\/li>\n<li>House\uff1a32.86 dB<\/li>\n<li>Cameraman\uff1a29.45 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